What is the Greatest Common Factor of 37100 and 37110?

Greatest common factor (GCF) of 37100 and 37110 is 10.

GCF(37100,37110) = 10

We will now calculate the prime factors of 37100 and 37110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37100 and 37110.

How to find the GCF of 37100 and 37110?

We will first find the prime factorization of 37100 and 37110. After we will calculate the factors of 37100 and 37110 and find the biggest common factor number .

Step-1: Prime Factorization of 37100

Prime factors of 37100 are 2, 5, 7, 53. Prime factorization of 37100 in exponential form is:

37100 = 2² × 5² × 7¹ × 53¹

Step-2: Prime Factorization of 37110

Prime factors of 37110 are 2, 3, 5, 1237. Prime factorization of 37110 in exponential form is:

37110 = 2¹ × 3¹ × 5¹ × 1237¹

Step-3: Factors of 37100

List of positive integer factors of 37100 that divides 37100 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 53, 70, 100, 106, 140, 175, 212, 265, 350, 371, 530, 700, 742, 1060, 1325, 1484, 1855, 2650, 3710, 5300, 7420, 9275, 18550

Step-4: Factors of 37110

List of positive integer factors of 37110 that divides 37100 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1237, 2474, 3711, 6185, 7422, 12370, 18555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37100 and 37110. The biggest common factor number is the GCF number.
So the greatest common factor 37100 and 37110 is 10.

Also check out the Least Common Multiple of 37100 and 37110